MAYBE

'Pop* with parameter subtitution (timeout of 60.0 seconds)'
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Answer:           MAYBE
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  minus(s(x), y) -> if(gt(s(x), y), x, y)
     , if(true(), x, y) -> s(minus(x, y))
     , if(false(), x, y) -> 0()
     , gcd(x, y) -> if1(ge(x, y), x, y)
     , if1(true(), x, y) -> if2(gt(y, 0()), x, y)
     , if1(false(), x, y) -> if3(gt(x, 0()), x, y)
     , if2(true(), x, y) -> gcd(minus(x, y), y)
     , if2(false(), x, y) -> x
     , if3(true(), x, y) -> gcd(x, minus(y, x))
     , if3(false(), x, y) -> y
     , gt(0(), y) -> false()
     , gt(s(x), 0()) -> true()
     , gt(s(x), s(y)) -> gt(x, y)
     , ge(x, 0()) -> true()
     , ge(0(), s(x)) -> false()
     , ge(s(x), s(y)) -> ge(x, y)}

Proof Output:    
  The input cannot be shown compatible